二次引力、双层和非守恒能量动量张量
Quadratic Gravity, double layers and non-conservative energy-momentum tensor
摘要：
本文研究了二次引力中的守恒条件。它明确地表明，Bianchi恒等式导致的（引力）场方程的左手边的保守条件。因此，总的能量-动量张量在整体上是守恒的（就像在广义相对论中一样）。然而，在二次引力中，有可能有奇异的超曲面将具有不同物质能量-动量张量行为或不同真空的大块区域分开。它们需要特别考虑。我们导出了这种奇异超曲面上的守恒条件，并证明了物质创生的可能性。在论文的其余部分，我们考虑了一些应用程序说明所获得的结果。
英文摘要：
In the present paper we investigate the conservative conditions in Quadratic Gravity. It is shown explicitly that the Bianchi identities lead to the conservative condition of the left-hand-side of the (gravitational) field equation. Therefore, the total energy-momentum tensor is conservative in the bulk (like in General Relativity). However, in Quadratic Gravity it is possible to have singular hupersurfaces separating the bulk regions with different behavior of the matter energy-momentum tensor or different vacua. They require special consideration. We derived the conservative conditions on such singular hypersurfaces and demonstrated the very possibility of the matter creation. In the remaining part of the paper we considered some applications illustrating the obtained results.
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